ARISING IN CONCRETE CORROSION

Abstract. Finite element approximations of positive weak solutions to a one-phase unidimensional moving-boundary system with kinetic condition descri-bing the penetration of a sharp-reaction interface in concrete are considered. A priori and a posteriori error estimates for the semi-discrete fields of active concentrations and for the position of the moving interface are obtained. The important feature of the system of partial differential equations is that the non-linear coupling occurs due to the presence of both the moving boundary and the non-linearities of localized sinks and sources by reaction. Key Words. Reaction-diffusion system, moving-boundary problem, spatial semi-discretization, finite elements, a priori estimates, a posteriori estimates, concrete corrosion 1